205967 has 2 divisors, whose sum is σ = 205968. Its totient is φ = 205966.

The previous prime is 205963. The next prime is 205981. The reversal of 205967 is 769502.

205967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 205967 - 2² = 205963 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102983 + 102984.

It is an arithmetic number, because the mean of its divisors is an integer number (102984).

2²⁰⁵⁹⁶⁷ is an apocalyptic number.

205967 is a deficient number, since it is larger than the sum of its proper divisors (1).

205967 is an equidigital number, since it uses as much as digits as its factorization.

205967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 205967 is about 453.8358734168. The cubic root of 205967 is about 59.0562520102.

The spelling of 205967 in words is "two hundred five thousand, nine hundred sixty-seven".